共查询到20条相似文献,搜索用时 15 毫秒
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This paper is devoted to the investigation of the stability of upper semi-Browder, lower semi-Browder and Browder linear relations which satisfy the stabilization property, under commuting Riesz operator perturbations. As applications, we infer the invariance of the corresponding Browder’s essential approximate point spectrum, Browder’s essential defect spectrum and Browder’s essential spectrum under commuting Riesz operator perturbations. 相似文献
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设算子A和B拟相似,本文通过算子谱的精密结构的分析,给出了算子A的Wolf本质谱、Kato本质谱、Weyl本质谱以及右本质谱的连通分支与算子B的Wolf本质谱的某些子集的相交关系,并肯定地回答了L.A.Fialkow在文献[3]中提出的一个问题. 相似文献
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Salma Charfi Aref Jeribi Rihab Moalla 《Mathematical Methods in the Applied Sciences》2014,37(4):597-608
The main goal of this paper is to give a characterization of Wolf, Schechter, and Browder essential spectra of (2 × 2) matrix operator on a Banach space. Furthermore, we apply the obtained results to transport equations. Copyright © 2013 John Wiley & Sons, Ltd. 相似文献
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We consider upper-triangular 2-by-2 operator matrices and are interested in the set that has to be added to certain spectra of the matrix in order to get the union of the corresponding spectra of the two diagonal operators. We show that in the cases of the Browder essential approximate point spectrum, the upper semi-Fredholm spectrum, or the lower semi-Fredholm spectrum the set in question need not to be an open set but may be just a singleton. In addition, we modify and extend known results on Hilbert space operators to operators on Banach spaces. 相似文献
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主要给出k-拟-*-A算子的谱性质及其应用,若T是k-拟-*-A算子且N(T)■N(T~*),则Weyl谱的谱映射定理及本质近似点谱的谱映射定理成立;若T是k-拟-*-A算子,N(T)■N(T~*)且S~T,则a-Browder's定理对f(S)成立,其中f∈H(σ(S)). 相似文献
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In this article, we investigate the perturbation theory of lower semi-Browder and Browder linear relations. Our approach is based on the concept of a coperturbation function for linear relations in order to establish some perturbation theorems and deduce the stability under strictly cosingular operator perturbations. Furthermore, we apply the obtained results to study the invariance and the characterization of Browder's essential defect spectrum and Browder's essential spectrum. 相似文献
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B. P. Duggal 《Rendiconti del Circolo Matematico di Palermo》2007,56(1):57-64
Continuity of the set theoretic functions spectrum, Weyl spectrum, Browder spectrum and essential surjectivity spectrum on
the classes consisting of (p, k)-quasihyponormal,M-hyponormal, totally *-paranormal and paranormal (Hilbert space) operators is proved. 相似文献
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Let L0 be a 2 × 2 diagonal self‐adjoint block operator matrix with entries A and D. If operators B and B* are added to the off diagonal zeros, certain parts of the spectrum of L0 move to the right and other parts move to the left. In this paper it is shown that, correspondingly, if B is a trace class operator M. G. Krein's spectral shift function is of constant sign on certain intervals. 相似文献
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记■为Hilbert空间■上的上三角算子矩阵.我们借助对角元A,B和C的谱性质给出了σ_*(M_(D,E,F))=σ_*(A)∪σ_*(B)∪σ_*(C)对任意D∈B(H_2,H_1),E∈B(H_3,H_1),F∈B(H_3,H_2)均成立的充要条件,其中σ_*代表某类特定的谱,如点谱、剩余谱和连续谱等.此外,给出了一些例证. 相似文献
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In the present paper we characterize the closed densely defined semi-Browder operators through the Kato decomposition. Furthermore, we apply the obtained results to give a new characterization of Browder’s essential defect spectrum and Browder’s essential approximate point spectrum under finite rank operator perturbations. 相似文献
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基于值域的稠密性和闭性,有界线性算子的点谱可进一步细分为互不相交的四个组成部分,即四类点谱.设H_1,H_2,H_3为无穷维复可分Hilbert空间,记M_(D,E,F)=(A D E0 B F0 0 C)∈B(H_1H_2H_3).当对角算子A,B,C固定时,给出了M_(D,E,F)的四类点谱随D,E,F扰动的完全描述. 相似文献
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B. P. Duggal 《Rendiconti del Circolo Matematico di Palermo》1932,56(1):57-64
Continuity of the set theoretic functions spectrum, Weyl spectrum, Browder spectrum and essential surjectivity spectrum on the classes consisting of (p, k)-quasihyponormal,M-hyponormal, totally *-paranormal and paranormal (Hilbert space) operators is proved. 相似文献
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In this work we characterize a high-order Toda lattice in terms of a family of matrix polynomials orthogonal with respect to a complex matrix measure. In order to study the solution of this dynamical system, we give explicit expressions for the Weyl function, generalized Markov function, and we also obtain, under some conditions, a representation of the vector of linear functionals associated with this system. We show that the orthogonality is embedded in these structure and governs the high-order Toda lattice. We also present a Lax-type theorem for the point spectrum of the Jacobi operator associated with a Toda-type lattice. 相似文献
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Acta Mathematica Sinica, English Series - Property (R) holds for an operator when the complement in the approximate point spectrum of the Browder essential approximate point spectrum coincides with... 相似文献
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Weyl spectra and Weyl's theorem 总被引:1,自引:0,他引:1
Xiaohong Cao Maozheng Guo Bin Meng 《Journal of Mathematical Analysis and Applications》2003,288(2):758-767
Two variants of the Weyl spectrum are discussed. We find, for example, that if one of them coincides with the Browder spectrum then Weyl's theorem holds, and conversely for isoloid operators. 相似文献